In the present generality it is not known, whether Gibbs processes
exist. Partial answers (under varying assumptions on \(\kappa \) ) are given
for instance in [1]}, [2]}, [3]}, [4]}, [5]}.
A considerably more challenging topic is the distributional uniqueness of
a Gibbs process. From a mathematical point of view not much is known in this
regard. We refer to [6]}, [5]} for recent surveys.
